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Question: In a 500 ml capacity vessel <img src="https://cdn.pureessence.tech/canvas_474.png?top_left_x=0&top_l...

In a 500 ml capacity vessel and are mixed to formCOCl2\mathrm { COCl } _ { 2 }. At equilibrium, it contains 0.2 moles of COCl2\mathrm { COCl } _ { 2 } and 0.1 mole of each of andCO2\mathrm { CO } _ { 2 }. The equilibrium constant KcK _ { c } for the reaction CO+Cl2\mathrm { CO } + \mathrm { Cl } _ { 2 }COCl2\mathrm { COCl } _ { 2 } is.

A

5

B

10

C

15

D

20

Answer

10

Explanation

Solution

CO+Cl2\mathrm { CO } + \mathrm { Cl } _ { 2 }COCl2\mathrm { COCl } _ { 2 }

[CO]=0.10.5[ C O ] = \frac { 0.1 } { 0.5 }, [Cl2]=0.10.5\left[ C l _ { 2 } \right] = \frac { 0.1 } { 0.5 }, [COCl2]=0.20.5\left[ \mathrm { COCl } _ { 2 } \right] = \frac { 0.2 } { 0.5 }

=[COCl2][CO][Cl2]=00.20.50.10.5×0.10.5=25×25=10= \frac { \left[ \mathrm { COCl } _ { 2 } \right] } { [ \mathrm { CO } ] \left[ \mathrm { Cl } _ { 2 } \right] } = 0 \frac { \frac { 0.2 } { 0.5 } } { \frac { 0.1 } { 0.5 } \times \frac { 0.1 } { 0.5 } } = \frac { 2 } { 5 } \times 25 = 10